2 citations · 2 across the 6 of their papers we have counts for
6 papers
Semifree Isovariant Poincaré Spaces and the Gap Condition
Dominik Kirstein, Christian Kremer
We introduce the notion of a semifree isovariant -Poincaré space, a homotopical notion interpolating between semifree closed smooth -manifolds and the equivariant Poincaré sp…
Poincaré Duality Pairs of -Categories
Andrea Bianchi, Kaif Hilman, Dominik Kirstein +1
We introduce a notion of Poincaré duality for pairs of -categories, extending Poincaré-Lefschetz duality for pairs of spaces. This categorical extension yields an efficient…
A twisted Bass-Heller-Swan decomposition for localising invariants
Dominik Kirstein, Christian Kremer
We generalise the classical Bass-Heller-Swan decomposition for the K-theory of (twisted) Laurent algebras to a splitting for general localising invariants of certain categories of…
Equivariant Poincaré duality for cyclic groups of prime order and the Nielsen realisation problem
Kaif Hilman, Dominik Kirstein, Christian Kremer
In this companion article to [HKK24], we apply the theory of equivariant Poincaré duality developed there in the special case of cyclic groups of prime order to remove, in a…
Parametrised Poincaré duality and equivariant fixed points methods
Kaif Hilman, Dominik Kirstein, Christian Kremer
In this article, we introduce and develop the notion of parametrised Poincaré duality in the formalism of parametrised higher category theory by Martini-Wolf, in part generalising…
Some problems and conjectures about -invariants
Dominik Kirstein, Christian Kremer, Wolfgang Lueck
In this article we give a survey on open problems and conjectures concerning L^2-invariants. We cover the whole portfolio and not only certain aspects as they are considered in the…